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In this paper we use pointwise modulus of smoothness to study approximation direct theorem and equivalent theorem for some linear operators and quasi-interpolant operators; Using pointwise modulus we discuss the strong converse inequality on K-functional; and using a modified weighted K-functional and weighted modulus of smoothness we study approximation with Jacobi weight on operator with non-zero first order moments.

本文利用点态光滑模ω_~(2r)来研究某些线性算子及逆中插式逼近正定理和等价定理;利用点态光滑模讨论其关于K-泛函的强逆不等式;同时利用一种改变的带权K-泛函和带权光滑模研究一阶矩不为零的算子的点态带Jacobi权逼近。

Secondly, using the relation between the weighted modified K-functional, the weighted modulus of smoothness ,the weighted main-part modulus of smoothness . we get the pointwise direct and inverse approximation theorem with Jacobi weight for Szdsz-Kantorovich operator. Thus some results on w = 0w(x denotes the weight function, Ditzian-Totik modulus and classic modulus are extend.

其次,引入一种改变的带权K-泛函,利用带权光滑模和带权主部光滑的关系及带权光滑模与改变带权K-泛函的等价性,关于Szász-Kantorovich算子,讨论了一阶矩不为零的算子的点态带Jacobi权逼近正定理及等价定理,推广了已有的权为零及Ditzian-Totik光滑模和古典光滑模的结果。

The forth algorithm is the same as the third one with an addition of finite termination criteria. Although the latter two algorithms have only linear rate of convergence, they are especially suitable for large-scale and sparse problems, with features of simple formula, small storage, sparsity preservation and easy implementation.

前者借助NCP函数把互补问题转化为等价的非光滑方程组,再用带参数的光滑方程组近似这些非光滑方程组,最后用牛顿型方法求解所得到的光滑方程组,希望通过光滑参数趋于零得到原来互补问题的解;后者基于等价不动点格式,构造了一个光滑迭代算法和一个具有有限终止性质的算法,虽然这种迭代算法仅有线性收敛速度,但由于其格式简单、存储量小、保稀疏性、非常易于计算机实现等特点,故较适用于求解大规模稀疏问题。

For example ,the non- polar materials like hydrocarbons are heavy and draggy as compared to polar emollients,isoparaffins are light and smooth,the polar esters were significantly lighter and smoother,the branched chain and unsaturated esters were exceptionally light and smooth,in the case of straight chain esters,as the emollients become smoother and lighter ,the oiliness increases,in the case of unsaturated and branched chain esters,the emollient becomes lighter ,as well as less oily,when the alcohol chain length is decreased.

研究结果表明,物理化学特性明显影响润肤剂的轻柔感和油亮感,例如类似碳氢化合物的非极性物质相对于极性物质要粘稠些,异构烷烃则轻柔和光滑,带分支链的不饱和酯特别具有轻柔感和光滑感,带分支的不饱和酯相对直链饱和酯在油亮感方面有着特别的不同,直链酯随着产品光滑感和轻柔感的增加,油亮感也增加,对于带分支的不饱和酯而言,产品变得更轻柔,油亮感下降。

The stability of GA-PBCA-NP was also studied.ResultsDue to the agglomerationg of nanoparticles with no stabilizer,it was difficult to preparate.GA-PBCA-NP produced by the two methods both had spheric and smooth outer appearance,uniform distribution,nonadherence and stability.The diameter,ebeding ratio and drug loading in GA-PBCA-NP produced by emulsification polymerization and interfacial polymerization methods were 90~600 nm and 200 nm,60.49% and 73.87%,18.15% and 22.23%,respectively.

结果未添加稳定剂的纳米球表面粘连团聚现象严重,难以成球;乳化聚合法制备的GA-PBCA-NP在透射电镜下观察表面圆整光滑,粒子之间不团聚,不黏连,粒径范围在90~600 nm,包封率为60.49%,载药量为18.15%;界面缩聚法制得的纳米粒表面圆整光滑,粒子之间不团聚,不黏连,粒径大小均匀,都在200 nm左右,包封率为73.87%,载药量为22.23%,两种方法制备的稳定性都较好。

GA-PBCA-NP produced by the two methods both had spheric and smooth outer appearance,uniform distribution,nonadherence and stability.The diameter,ebeding ratio and drug loading in GA-PBCA-NP produced by emulsification polymerization and interfacial polymerization methods were 90~600 nm and 200 nm,60.49% and 73.87%,18.15% and 22.23%,respectively.ConclusionIt is important to add dextran 70 in preparation.

结果未添加稳定剂的纳米球表面粘连团聚现象严重,难以成球;乳化聚合法制备的GA-PBCA-NP在透射电镜下观察表面圆整光滑,粒子之间不团聚,不黏连,粒径范围在90~600 nm,包封率为60.49%,载药量为18.15%;界面缩聚法制得的纳米粒表面圆整光滑,粒子之间不团聚,不黏连,粒径大小均匀,都在200 nm左右,包封率为73.87%,载药量为22.23%,两种方法制备的稳定性都较好。

Not smooth recycled paper that is slowing down business card printing quality.

不光滑的再生纸会降低制卡质量。

The main products of the sticks is die-cutting on automatic die-cutting machine requires will rely on a pipe of knife more force several narrow-necked, smooth production after the die cutting machine out, in the sense of narrow-necked reflected in the die-cutting on the box of the edge is not smooth.

影响产品美观的主要原因是在平压平自动模切机上进行模切加工时需要将靠叼口边的刀多敲破几个小口,才能顺利地将模切后的成品从机器中拉出来,敲破的小口体现在模切后的盒上是边缘不光滑

In the SMC of the normal rabbits, myofilaments and macula densa were abundant, few mitochondrla and endoplasmic reticulums were found around the nuclear, and the SMC was in the contractive stage. In the SMC of the model rabbits, few myofilaments and macula densa were found, rough surfaced endoplasmic reticulums and mitochondria were abundant, some phagocytosed much lipid and became foam cells, the SMC was in the synthetic stage.

实验12周,高脂组家兔主动脉斑块面积百分比为47.69±12.84%,内膜斑块厚度为0.68±0.08mm,内膜斑块横断面积与中膜面积比值为1.28±0.35;内膜脂质斑块弥漫且较厚,有大量的泡沫细胞堆积,可达8~10层,管腔直径变小,内膜不光滑;泡沫细胞内富含脂滴,呈椭圆形气球样,有的斑块中可见显著的平滑肌细胞增生及大量的弹力纤维形成。

The American Puritans accepted the doctrine of predestination,original sin and total depravity,and limited atonement rough a apecial infusion of grace from God.

美国清教徒接受了 predestination ,正本罪和总堕落的主义,和补偿不光滑来自上帝的一个 apecial 注入宽限的有限公司。

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